Search a number
-
+
301451445300 = 2235215735318131
BaseRepresentation
bin1000110001011111110…
…10000000010000110100
31001211002200002002101110
410120233322000100310
514414333032222200
6350252422355020
730531151002315
oct4305772002064
91054080062343
10301451445300
11106932533675
124a50b58ba70
1322571750595
1410839c0660c
157c94d16b50
hex462fe80434

301451445300 has 144 divisors (see below), whose sum is σ = 880290032832. Its totient is φ = 79644364800.

The previous prime is 301451445263. The next prime is 301451445311. The reversal of 301451445300 is 3544154103.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16617235 + ... + 16635365.

It is an arithmetic number, because the mean of its divisors is an integer number (6113125228).

Almost surely, 2301451445300 is an apocalyptic number.

301451445300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301451445300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440145016416).

301451445300 is an abundant number, since it is smaller than the sum of its proper divisors (578838587532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

301451445300 is a wasteful number, since it uses less digits than its factorization.

301451445300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18658 (or 18651 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 301451445300 its reverse (3544154103), we get a palindrome (304995599403).

The spelling of 301451445300 in words is "three hundred one billion, four hundred fifty-one million, four hundred forty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 353 471 628 706 785 942 1059 1412 1570 1765 1884 2118 2355 3140 3530 3925 4236 4710 5295 7060 7850 8825 9420 10590 11775 15700 17650 18131 21180 23550 26475 35300 36262 47100 52950 54393 55421 72524 90655 105900 108786 110842 166263 181310 217572 221684 271965 277105 332526 362620 453275 543930 554210 665052 831315 906550 1087860 1108420 1359825 1385525 1662630 1813100 2719650 2771050 2846567 3325260 4156575 5439300 5542100 5693134 6400243 8313150 8539701 11386268 12800486 14232835 16626300 17079402 19200729 25600972 28465670 32001215 34158804 38401458 42698505 56931340 64002430 71164175 76802916 85397010 96003645 128004860 142328350 160006075 170794020 192007290 213492525 284656700 320012150 384014580 426985050 480018225 640024300 853970100 960036450 1004838151 1920072900 2009676302 3014514453 4019352604 5024190755 6029028906 10048381510 12058057812 15072572265 20096763020 25120953775 30145144530 50241907550 60290289060 75362861325 100483815100 150725722650 301451445300